Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 3017/56,7507/460
Formula to find GCF of Fractions is
GCF = GCF of Numerators/LCM of Denominators
As per the formula GCF of Fractions let’s split into two parts and find the GCF of Numerators and LCM of Denominators
In the given fractions GCF of Numerators means GCF of 3017,7507
Greatest Common Factor of Numerators i.e. GCF of 3017,7507 is 1 .
LCM of Denominators means LCM of 56,460 as per the given fractions.
LCM of 56,460 is 6440 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 3017,7507
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 3017
List of positive integer factors of 3017 that divides 3017 without a remainder.
1,7,431,3017
Factors of 7507
List of positive integer factors of 7507 that divides 7507 without a remainder.
1,7507
Greatest Common Factor
We found the factors 3017,7507 . The biggest common factor number is the GCF number.
So the greatest common factor 3017,7507 is 1.
Lets's calculate LCM of 56,460
2 | 56, 460 |
2 | 28, 230 |
14, 115 |
∴ So the LCM of the given numbers is 2 x 2 x 14 x 115 = 6440
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/6440
Therefore, the GCF of Fractions 3017/56,7507/460 is 1/6440
The formula of LCM is LCM(a1,a2,a3....,an) = ( a1 × a2 × a3 × .... × an) / GCF(a1,a2,a3....,an) x common factors(if more than 2 numbers have common factors).
We need to calculate greatest common factor of 56,460 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(56,460) = 4
common factors(in case of two or more numbers have common factors) = 1
GCF(56,460) x common factors =4 x 1 = 4
LCM(56,460) = ( 56 × 460 ) / 4
LCM(56,460) = 25760 / 4
LCM(56,460) = 6440
Here are some samples of GCF of Fractions calculations.
Here are some samples of GCF of Fractions calculations.
1. How to find GCF in Fractions?
Answer: GCF of fractions can be found using the simple formula GCF of Fractions = GCF of Numerators/LCM of Denominators.
2. What is the GCF of Fractions for 3017/56, 7507/460?
Answer: GCF of Numerators as per given numbers 3017/56, 7507/460 is
GCF of Numerators i.e. for 3017,7507 is 1
LCM of denominators i.e. for 56,460 is 6440.
Thus, GCF of Fractions is 1/6440.Finally, GCF of Fractions for 3017/56, 7507/460 is 1/6440.